233268000 has 192 divisors, whose sum is σ = 873669888. Its totient is φ = 53299200.

The previous prime is 233267981. The next prime is 233268023. The reversal of 233268000 is 862332.

233268000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×233268000⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82612 + ... + 85388.

It is an arithmetic number, because the mean of its divisors is an integer number (4550364).

Almost surely, 2^233268000 is an apocalyptic number.

233268000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436834944).

233268000 is an abundant number, since it is smaller than the sum of its proper divisors (640401888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233268000 is a wasteful number, since it uses less digits than its factorization.

233268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 233268000 is about 15273.1136314767. The cubic root of 233268000 is about 615.5807852155.

The spelling of 233268000 in words is "two hundred thirty-three million, two hundred sixty-eight thousand".